3 papers
math.GR2020
Hyperbolic generalized triangle groups, property (T) and finite simple quotients
Pierre-Emmanuel Caprace, Marston Conder, Marek Kaluba +1
We construct several series of explicit presentations of infinite hyperbolic groups enjoying Kazhdan's property (T). Some of them are significantly shorter than the previously know…
math.GR2018
Boundary Braids
Michael Dougherty, Jon McCammond, Stefan Witzel
The n-strand braid group can be defined as the fundamental group of the configuration space of n unlabeled points in a closed disk based at a configuration where all n points lie i…
math.GR2016
The Basilica Thompson group is not finitely presented
Stefan Witzel, Matthew C. B. Zaremsky
We show that the Basilica Thompson group introduced by Belk and Forrest is not finitely presented, and in fact is not of type FP_2. The proof involves developing techniques for pro…